1012531520 has 448 divisors, whose sum is σ = 3379622400. Its totient is φ = 278691840.

The previous prime is 1012531519. The next prime is 1012531547. The reversal of 1012531520 is 251352101.

1012531520 = T₇₅₈₉ + T₇₅₉₀ + ... + T₇₆₂₃.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1012531492 and 1012531501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9289226 + ... + 9289334.

It is an arithmetic number, because the mean of its divisors is an integer number (7543800).

Almost surely, 2^1012531520 is an apocalyptic number.

1012531520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689811200).

1012531520 is an abundant number, since it is smaller than the sum of its proper divisors (2367090880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012531520 is a wasteful number, since it uses less digits than its factorization.

1012531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1012531520 is about 31820.3004385565. The cubic root of 1012531520 is about 1004.1598450283.

Adding to 1012531520 its reverse (251352101), we get a palindrome (1263883621).

The spelling of 1012531520 in words is "one billion, twelve million, five hundred thirty-one thousand, five hundred twenty".